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[Axiom-developer] [#167 Infinite Floats Domain]
From: |
wyscc |
Subject: |
[Axiom-developer] [#167 Infinite Floats Domain] |
Date: |
Sun, 17 Jul 2005 14:50:06 -0500 |
Changes
http://page.axiom-developer.org/zope/mathaction/167InfiniteFloatsDomain/diff
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??changed:
-However, in my view, this still is not infinite precision in the sense of that
$2^(-35) + 2^34$ will not compute exactly because the system does not
*automatically* increase precision in 'FLOAT' (it won't, even using macros).
But one *can* compute it by *manually* increasing the precision (which
precision is by no means obvious). Compare this with 'FRAC INT' where there is
no need to manually increase the length of integers in numerators or
denominators. Floating point systems are designed to compute only significant
digits.
However, in my view, this still is not infinite precision in the sense of that
$2^{(-35)} + 2^{34}$ will not compute exactly because the system does not
*automatically* increase precision in 'FLOAT' (it won't, even using macros).
But one *can* compute it by *manually* increasing the precision (which
precision is by no means obvious). Compare this with 'FRAC INT' where there is
no need to manually increase the length of integers in numerators or
denominators. Floating point systems are designed to compute only significant
digits.
--
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